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Finding the Fourth Proportional to 54,097.84, 81,138.56 and 19,029.28

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Solution

The fourth proportional to 54,097.84, 81,138.56 and 19,029.28 is: 28,541.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,097.84 : 81,138.56 = 19,029.28 : x
  2. Step 2: Convert to fraction form
    54,097.84/81,138.56 = 19,029.28/x
  3. Step 3: Cross multiply
    54,097.84x = 81,138.56 × 19,029.28
  4. Step 4: Simplify right side
    54,097.84x = 1,544,008,377.04
  5. Step 5: Solve for x
    x = 1,544,008,377.04/54,097.84
  6. Step 6: Final answer
    x = 28,541.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.